Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1: 75


X can be any value except 2.

Work Step by Step

Because x - 2 and 2x-4 are in the denominator, and the denominator cannot equal 0, X cannot equal 2. To solve this equation, we equate the cross products. So, 3 $\times$ (2x - 4) = (x - 2) $\times$ 6 Use the distributive property. 6x - 12 = 6x - 12 Subtract 6x from both sides. -12 = -12 As we can see, for every value of x, the equation is true. However, we must remember that x cannot equal 2. So, x can be any value except 2.
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